Year: 2026
Type: article
Abstract: We study framed surfaces, which are a class of Euclidean minimal and hyperbolic CMC-1 surfaces that generalize immersed minimal surfaces in $$\mathbb {R}^3$$ R 3 and Bryant surfaces. For this class we prove a lower bound on the (unrestricted) Morse index by a linear function of the genus, number of ends and number of branch points (counting multiplicity), generalizing a result by Chodosh and the first author (J Differ Geom 123(3):431–459, 2023). We include as well a description of the 1-to-1 correspondence between Euclidean minimal and Bryant surfaces, known in the literature as Lawson’s correspondence .
Source: Mathematische Annalen
Authors: Davi Maximo, Franco Vargas Pallete
Institutions: University of Pennsylvania, Arizona State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7130859474